2013001020 has 72 divisors (see below), whose sum is σ = 6152786640. Its totient is φ = 532696320.

The previous prime is 2013001013. The next prime is 2013001031. The reversal of 2013001020 is 201003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2013000993 and 2013001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19105 + ... + 66264.

It is an arithmetic number, because the mean of its divisors is an integer number (85455370).

Almost surely, 2^2013001020 is an apocalyptic number.

2013001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013001020 is an abundant number, since it is smaller than the sum of its proper divisors (4139785620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013001020 is a wasteful number, since it uses less digits than its factorization.

2013001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85515 (or 85510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013001020 is about 44866.4799154112. The cubic root of 2013001020 is about 1262.6451987366.

Adding to 2013001020 its reverse (201003102), we get a palindrome (2214004122).

The spelling of 2013001020 in words is "two billion, thirteen million, one thousand, twenty".